42807960 has 128 divisors (see below), whose sum is σ = 153720000. Its totient is φ = 10533888.

The previous prime is 42807949. The next prime is 42807971. The reversal of 42807960 is 6970824.

It is an interprime number because it is at equal distance from previous prime (42807949) and next prime (42807971).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12516 + ... + 15564.

Almost surely, 2^42807960 is an apocalyptic number.

42807960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42807960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76860000).

42807960 is an abundant number, since it is smaller than the sum of its proper divisors (110912040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42807960 is a wasteful number, since it uses less digits than its factorization.

42807960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 42807960 is about 6542.7792259865. The cubic root of 42807960 is about 349.8174830695.

The spelling of 42807960 in words is "forty-two million, eight hundred seven thousand, nine hundred sixty".